Time-frequency analysis of chaotic systems

Details Time-frequency analysis of chaotic systems Time-frequency analysis of chaotic systems

2002-09-06

arxiv.org/abs/nlin/0209015v1

Physica D 181 (2003) 171-196

Nonlinear Sciences

Chaotic Dynamics

36 pages, 18 figures

Scientific paper

10.1016/S0167-2789(03)00117-9

We describe a method for analyzing the phase space structures of Hamiltonian systems. This method is based on a time-frequency decomposition of a trajectory using wavelets. The ridges of the time-frequency landscape of a trajectory, also called instantaneous frequencies, enable us to analyze the phase space structures. In particular, this method detects resonance trappings and transitions and allows a characterization of the notion of weak and strong chaos. We illustrate the method with the trajectories of the standard map and the hydrogen atom in crossed magnetic and elliptically polarized microwave fields.

Affiliated with

Also associated with

No associations

Rating

Time-frequency analysis of chaotic systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Time-frequency analysis of chaotic systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time-frequency analysis of chaotic systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670176